14:00
14:00
16:30
A teleparallel reformulation of Dirac's equation or quantum electrodynamics for dummies
Abstract
spinor --> coframemakes the Dirac equation nonlinear. The morale of the talk is that, in our opinion, it is more natural to view the Dirac equation as a nonlinear equation for the unknown coframe rather than a linear equation for the unknown spinor.
16:15
16:00
Modelling cerebrospinal fluid flow through the brain and hydrocephalus
Abstract
An integral part of the brain is a fluid flow system that is separate from brain tissue and the cerebral blood flow system: cerebrospinal fluid (CSF) is produced near the centre of the brain, flows out and around the brain, including around the spinal cord and is absorbed primarily in a region between the brain tissue and the skull. Hydrocephalus covers a broad range of anomalous flow and pressure situations: the normal flow path can become blocked, other problems can occur which result in abnormal tissue deformation or pressure changes. This talk will describe work that treats brain tissue as a poroelastic matrix through which the CSF can move when normal flow paths are blocked, producing tissue deformation and pressure changes. We have a number of models, the simplest treating the brain and CSF flow as having spherial symmetry ranging to more complex, fully three-dimensional computations. As well as considering acute hydrocephalus, we touch on normal pressure hydrocephalus, idiopathic intracranial hypertension and simulation of an infusion test. The numerical methods used are a combination of finite difference and finite element techniques applied to an interesting set of hydro-elastic equations.
17:00
14:00
17:00
15:45
Snowflake geometry, Perron-Frobenius exponents, and isoperimetric space
15:45
Multi-scaling of the $n$-point density function for coalescing Brownian motions
Abstract
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14:15
14:15
Holomorphic generating functions for invariants counting sheaves on Calabi-Yau-3-folds
14:15
11:00
Experimental observation of martensite-to-austenite transitions in SMAs induced by a thermal gradient
16:30
A law of motion for spiral waves in the complex Ginzburg-Landeau equation
16:15
16:00